DESCRIPTIVE STATISTICS

Question

A particular fruit's weights are normally distributed, with a mean of 637 grams and a standard deviation of 5 grams.

If you pick one fruit randomly, what is the probability that it will weigh between 628 grams and 649 grams?

Answer 1

On this type of question you want to first use the formula

z = (x – mean) / (standard deviation) in order to convert the given values over into a Z score. then once you have done that you can use technology like a calculator or Microsoft Excel to convert the value over into a probability.

From the values in the question we get

z = (649 – 637)/5 = 2.4

z = (628 – 637)/5 = -1.8

for the Z values

using technology to convert that over then I get 0.9559 for the resulting probability

i hope that helps! :)